3454222224600 has 288 divisors, whose sum is σ = 13482342432000. Its totient is φ = 776154366720.

The previous prime is 3454222224559. The next prime is 3454222224631. The reversal of 3454222224600 is 64222224543.

3454222224600 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 2 + 2 + 22 + 24 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1579860 + ... + 3066659.

It is an arithmetic number, because the mean of its divisors is an integer number (46813689000).

Almost surely, 2^{3454222224600} is an apocalyptic number.

3454222224600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454222224600 is an abundant number, since it is smaller than the sum of its proper divisors (10028120207400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3454222224600 is a wasteful number, since it uses less digits than its factorization.

3454222224600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646607 (or 4646595 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 3454222224600 in words is "three trillion, four hundred fifty-four billion, two hundred twenty-two million, two hundred twenty-four thousand, six hundred".